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If the mean of frequency distribution is 100 and coefficient of variation is 45% then standard deviation is ______
  • a)
    45  
  • b)
    0.45  
  • c)
    0.045  
  • d)
    None 
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the mean of frequency distribution is 100 and coefficient of variat...
Mean, Coefficient of Variation and Standard Deviation

Mean:
The mean is defined as the average of all the observations in a given data set. It is calculated by dividing the sum of all the observations by the total number of observations.

Coefficient of Variation:
The coefficient of variation is a measure of relative variability of a data set. It is expressed as a percentage and is calculated by dividing the standard deviation by the mean and then multiplying the result by 100.

Standard Deviation:
The standard deviation is a measure of the spread of a set of data. It is calculated by taking the square root of the variance. The variance is the average of the squared differences from the mean.

Calculation of Standard Deviation:

Given that the mean of frequency distribution is 100 and coefficient of variation is 45%.

Coefficient of variation = (Standard deviation / Mean) * 100

45 = (Standard deviation / 100) * 100

Standard deviation = (45/100) * 100

Standard deviation = 45

Therefore, the correct answer is option 'A' (45).
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Community Answer
If the mean of frequency distribution is 100 and coefficient of variat...
Coefficient of variation= SD/AM
therefore SD=45%×100(Mean)
45%=45/100(it was expressed in percentage)
Therefore SD=45/100×100
i.e SD=45
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If the mean of frequency distribution is 100 and coefficient of variation is 45% then standard deviation is ______a)45 b)0.45 c)0.045 d)NoneCorrect answer is option 'A'. Can you explain this answer?
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